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5a=11\left(a-6\right)
Multiply both sides of the equation by 55, the least common multiple of 11,5.
5a=11a-66
Use the distributive property to multiply 11 by a-6.
5a-11a=-66
Subtract 11a from both sides.
-6a=-66
Combine 5a and -11a to get -6a.
a=\frac{-66}{-6}
Divide both sides by -6.
a=11
Divide -66 by -6 to get 11.